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A solid disk and a hoop are simultaneously released from rest at the top of an incline and roll down without slipping. Which object reaches the bottom first?
A) The disk arrives first.
B) The hoop arrives first.
C) The one that has the largest radius arrives first.
D) The hoop and the disk arrive at the same time.
E) The one that has the largest mass arrives first.

Sagot :

Answer:

A) The disk arrives first

Explanation:

The disk arrives first, and the reason behind this is that the disk posses smaller moment of inertia, picking up quickly of angular speed of an object for a particular torgue can be determined by ts moment of inertia . So small quantity of energy will be used up as rotational energy, and with the rotational energy the disk will move faster that the hoop.

The option that illustrates the object that reaches the bottom first is A. The disk arrives first.

From the information given, we're told that a solid disk and a hoop are simultaneously released from rest at the top of an incline and rolled down without slipping.

It should be noted that the disk will arrive first due to the fact that it has smaller inertia. In such a case, the disk will arrive first while the hoop arrives later.

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